Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment
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Publication:2260211
DOI10.3934/dcdsb.2015.20.989OpenAlexW2334067053MaRDI QIDQ2260211
Publication date: 10 March 2015
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.989
extinctionendemic equilibriumreproduction numberdisease-free equilibriumdisease spreaddemographic reproduction number
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)
Related Items (10)
Stochastic extinction and persistence of a parasite-host epidemiological model ⋮ Global stability of the steady states of an epidemic model incorporating intervention strategies ⋮ Pattern formation in a reaction-diffusion parasite-host model ⋮ Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection ⋮ Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment ⋮ Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source ⋮ Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments ⋮ Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment ⋮ Singular renormalization group approach to SIS problems ⋮ Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
Cites Work
- Unnamed Item
- Unnamed Item
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- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
- A mathematical model for indirectly transmitted diseases
- Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
- Global stability of the steady states of an SIS epidemic reaction-diffusion model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Semigroups of linear operators and applications to partial differential equations
- Subharmonic bifurcation in an S-I-R epidemic model
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Geometric theory of semilinear parabolic equations
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Global stability of an SIR epidemic model with time delays
- A simple epidemic model with surprising dynamics
- A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic systems
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Deterministic extinction effect of parasites on host populations
- A reaction-diffusion system modeling direct and indirect transmission of diseases
- Persistence and bifurcation of degenerate solutions
- Global analysis of an epidemic model with nonmonotone incidence rate
- A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- An SIR epidemic model with free boundary
- Epidemic threshold conditions for seasonally forced SEIR models
- Epidemic models with nonlinear infection forces
- Host extinction dynamics in a simple parasite-host interaction model
- Dynamics of a predator-prey system with prey subject to Allee effects and disease
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Periodicity in an epidemic model with a generalized non-linear incidence
- The Mathematics of Infectious Diseases
- A Mathematical Model of the Spread of Feline Leukemia Virus (FeLV) Through a Highly Heterogeneous Spatial Domain
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- Mathematical Models in Population Biology and Epidemiology
- Mathematical Structures of Epidemic Systems
- Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
- Non-linear incidence and stability of infectious disease models
- Dispersal, disease and life-history evolution
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